一类二阶常微分方程初值问题的无穷多解性

摘要

应用分离变量法，得到了一类二阶微分方程初值问题存在无穷多个非负解的充分必要条件，并给出了所有的无穷多个非负解．。%By the separated variable method, we derive a sufficient and necessary condition for the existence of infinitely many solutions to a class of initial value problems for a second order differential equations, and give all the infinitely many solutions.